Atkin-Lehner |
2+ 3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650ca |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-370764843750 = -1 · 2 · 37 · 58 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1008,-26834] |
[a1,a2,a3,a4,a6] |
j |
397535/1302 |
j-invariant |
L |
0.97403014244365 |
L(r)(E,1)/r! |
Ω |
0.48701515229959 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32550cd1 97650ef1 |
Quadratic twists by: -3 5 |